On the \(r\)-shifted central coefficients of Riordan matrices
type: Item
instance of: scholarly article
title: On the \(r\)-shifted central coefficients of Riordan matrices
zbMATH Open document ID: 1406.11022
DOI: 10.1155/2014/848374
author: Sai-Nan Zheng
author: Shengliang Yang
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: By presenting Riordan matrix as a triangle, the central coefficients are entries in the central column. Starting at the central column, the \(r\)-shifted central coefficients are entries in column \(r\) of the right part of the triangle. This paper aims to characterize the \(r\)-shifted central coefficients of Riordan matrices. Here we will concentrate on four elements of the subgroups of the Riordan group, that is, the Bell subgroup, the associated subgroup, the derivative subgroup, and the hitting time subgroup. Some examples are presented to show how we deduce the generating functions for interesting sequences by using different means of calculating these \(r\)-shifted central coefficients. Besides, we make some extensions in the Bell subgroup.
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 11C20
Mathematics Subject Classification ID: 15B36
zbMATH DE Number: 7010776
Wikidata QID: Q59052785
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/848374
OpenAlex ID: W2034824588
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description: scientific article; zbMATH DE number 7010776